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Finding the Third Proportional to 36,356 and 79,652

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Solution

The third proportional to 36,356 and 79,652 is: 174,508.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,356 : 79,652 = 79,652 : x
  2. Step 2: Convert to fraction form
    36,356/79,652 = 79,652/x
  3. Step 3: Cross multiply
    36,356x = 79,652 × 79,652
  4. Step 4: Simplify right side
    36,356x = 6,344,441,104
  5. Step 5: Solve for x
    x = 6,344,441,104/36,356
  6. Step 6: Final answer
    x = 174,508.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.